This paper advances the concept of transversality by drawing philosophical insights from Maurice Merleau-Ponty, Calvin O. Schrag, and the Martinicuan francophone Edouard Glissant. By so doing, it attempts to deconstruct the notion of universality in modern Western philosophy. It begins with a critique of the notion of Eurocentric universality which is founded on the fallacious premise that what is particular in the West is made universal, whereas whereas what is particular in the non-West remains particular forever. Eurocentric Universality has no place in the globalization of the multicultural world. It simply ignores the reality of interlacing of multiple life-worlds. The concept of transversality, whose icon is the Maitreyan Middle Way, is proposed to replace universality. It not only reduced ethnocentric particularism but also fosters a hybridity that in fact dissolves the binary opposition between particularism and universalism. In short, transversality is conceived of as a radically new paradigm in philosophical conceptualization or world philosophy